The Hybrid Power Mean Involving the Character Sum of Polynomials and a Sum Analogous to Kloosterman Sum

多项式特征和与类Kloosterman和的混合均值问题

The main purpose of this paper is using the properties of the classical Gauss sum and the analytic methods to study the computational problem of one kind of hybrid power mean involving the character sum of polynomials and a sum analogous to Kloosterman sum mod p,an odd prime,and give two sharp asymptotic formulae for them.

本文主要目的是利用经典Gauss和的性质及解析的方法研究模p意义下的多项式特征和与类Kloosterman和的混合均值计算问题,最后给出该均值的两个精确的渐近公式.